Euclidetiäisyyttä

Euclidetiäisyys, also known as Euclidean distance, is a fundamental concept in geometry and mathematics, named after the ancient Greek mathematician Euclid. It refers to the straight-line distance between two points in Euclidean space. In a two-dimensional plane, the Euclidean distance between two points (x1, y1) and (x2, y2) is calculated using the Pythagorean theorem, resulting in the formula:

d = √((x2 - x1)² + (y2 - y1)²)

This formula can be extended to three-dimensional space and higher dimensions. In three-dimensional space, the formula becomes:

d = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

Euclidean distance is widely used in various fields, including physics, engineering, computer science, and statistics. It is a key component in algorithms for clustering, classification, and regression. The concept of Euclidean distance is also crucial in the study of metric spaces and topology.